The volume of a sphere is increasing at a constant rate of 141 cubic feet per minute. At the instant when the radius of the sphe
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x = 4 and x = - 9
In both cases the angles inside the parallel lines are same sided interior angles
24x - 1 + 20x + 5 = 180
44x + 4 = 180 (subtract 4 from both sides )
44x = 176 ( divide both sides by 44 )
x = = 4
Similarly
x + 109 + x + 89 = 180
2x + 198 = 180 ( subtract 198 from both sides )
2x = - 18
x = = - 9
Given:
The function is:
It is given that -1 is a zero of the given function.
To find:
The other zeroes of the given function.
Solution:
If c is a zero of a polynomial P(x), then (x-c) is a factor of the polynomial.
It is given that -1 is a zero of the given function. So, is a factor of the given function.
We have,
Split the middle terms in such a way so that we get (x+1) as a factor.
Again splitting the middle term, we get
For zeroes, .
and
and
and
and
Therefore, the other two zeroes of the given function are and
.